It appears to be a pump action shotgun so yes it should be legal. The
CT's AWB has a section dealing with semi auto shotguns and if this was a semi auto then it would have some evilz features that could prohibit it from being CT legal.
(C) A semiautomatic shotgun that has at least two of the following:
(i) A folding or telescoping stock;
(ii) A pistol grip that protrudes conspicuously beneath the action of the weapon;
(iii) A fixed magazine capacity in excess of five rounds; and
(iv) An ability to accept a detachable magazine;
http://www.keltecweapons.com/news/preview-kel-tec-shotgun-ksg/
The KSG is our first entry into the shotgun market. The size, shape and design are similar to the currently available Kel-Tec RFB rifle, but the KSG ejects downward, instead of forward. The KSG weighs 6.9lbs and is as compact as legally possible with a 26.1" overall length and an 18.5" cylinder bore barrel. Even with this compact size, the internal dual tube magazines hold an impressive 14 rounds of 12 gage 2-3/4" rounds (7 per tube). The simple and reliable pump action feeds from either the left or right tube. The feed side is manually selected by a lever located behind the trigger guard. The lever can be positioned in the center detent in order to easily clear the chamber without feeding another round from either magazine. A cross bolt style safety blocks the sear, and the pump release lever is located in front of the trigger guard.
Picture of it can be found here:
http://www.keltecweapons.com/uploaded_files/tinymce/images/KSG_3357web.jpg
ETA: It appears the ATF clasifies any shotgun with a barrel that is 18 inches or less as an SBS. The KSG has a barrel of 18.5 inches so it should be OK to own without having to go through the SBR/SBS process.
http://www.atf.gov/firearms/faq/national-firearms-act-short-barreled-rifles-shotguns.html
Q: What is the registered part of a Short Barreled Rifle (SBR) or Short Barreled Shotgun (SBS)?While a receiver alone may be classified as a “firearm” under the Gun Control Act (GCA), SBRs and SBSs are classified in totality under the National Firearms Act (NFA). A firearm that meets the definition of a SBR consists of a rifle that has a barrel less than 16 inches in length. A SBS consists of a shotgun that has a barrel less than 18 inches in length. The serialized receiver is recorded for registration in the National Firearms Registration and Transfer Record (NFRTR).